On computing discriminants of subfields of ℚ (ζp r)

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dc.contributor.authorNeto, Trajano Pires da Nóbrega [UNESP]
dc.contributor.authorInterlando, J.Carmelo [UNESP]
dc.contributor.authorLopes, José Othon Dantas
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade Federal do Ceará (UFC)
dc.date.accessioned2014-05-27T11:20:30Z
dc.date.available2014-05-27T11:20:30Z
dc.date.issued2002-10-01
dc.description.abstractThe conductor-discriminant formula, namely, the Hasse Theorem, states that if a number field K is fixed by a subgroup H of Gal(ℚ(ζn)/ℚ), the discriminant of K can be obtained from H by computing the product of the conductors of all characters defined modulo n which are associated to K. By calculating these conductors explicitly, we derive a formula to compute the discriminant of any subfield of ℚ(ζpr), where p is an odd rime and r is a positive integer. © 2002 Elsevier Science USA.en
dc.description.affiliationDepartamento de Matemática Universidade Estadual Paulista, 15054-000, Sao Jose do Rio Preto, SP
dc.description.affiliationDepartamento de Matemática Universidade Federal Do Ceará, 60455-760, Fortaleza, CE
dc.description.affiliationUnespDepartamento de Matemática Universidade Estadual Paulista, 15054-000, Sao Jose do Rio Preto, SP
dc.format.extent319-325
dc.identifierhttp://dx.doi.org/10.1016/S0022-314X(02)92796-4
dc.identifier.citationJournal of Number Theory, v. 96, n. 2, p. 319-325, 2002.
dc.identifier.doi10.1016/S0022-314X(02)92796-4
dc.identifier.file2-s2.0-0036801781.pdf
dc.identifier.issn0022-314X
dc.identifier.scopus2-s2.0-0036801781
dc.identifier.urihttp://hdl.handle.net/11449/66977
dc.language.isoeng
dc.relation.ispartofJournal of Number Theory
dc.relation.ispartofjcr0.774
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectCharacters
dc.subjectConductors
dc.subjectCyclotomic fields
dc.subjectDiscriminants of number fields
dc.subjectHasse theorem
dc.titleOn computing discriminants of subfields of ℚ (ζp r)en
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Biociências Letras e Ciências Exatas, São José do Rio Pretopt

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